End of Semester Test: Algebra 2B practice
A local grocery store offers a free piece of fresh fruit to all of shoppers in the produce
department. What generalization can be made from the results of this study? - ANS Given
the choice of a banana or an apple, twice as many shoppers will select an apple
\A restaurant owner wants to determine the effectiveness of his servers. Assuming a 95%
confidence level, which statement hold true? - ANS As the sample size is appropriately
large, the margin of error is 0.171
\A soccer team wins 65% of it's matches, and 15% of it's matches end in a draw. If the
team is scheduled to play 20 matches, about how many matches is it expected to lose? -
ANS 4
\A survey of randomly-selected students on a campus of 1,000 students asked who
preferred coffee to tea. The sample proportion is found to be 59%. Which statement is
true? - ANS The population proportion is not necessarily equal to the sample proportion
\A technology research group recently published a report on computer programmers'
views about a game development program. Which factor is most relevant when
evaluating the report? - ANS 28% of the respondents worked for game development
companies
\As x approaches positive infinity, f(x) approaches ___ and g(x) approaches ___. The
y-intercept of function f is___ the y-intercept of function g. - ANS [positive infinity]
[negative infinity]
[less than]
\By the central limit theorem, which interval can the branch manager be 95% certain that
the sample mean will fall within? - ANS $44.87 and $46.93
\Consider functions f and g. Which expression is equal to f(x) * g(x)? - ANS x-2/x+6
\Consider the equation, cos(0) = -3/10. If 0 is an angle in quadrant II, what is the value of
tan(0) - ANS -sqrt 91/3
\Consider the function y=1/2cos(2x)-1 Which statement is true about the function? - ANS
The midline of the function is y = -1
\Consider the graph of the function f(x) = 10^x, what is the range of function g if g(x) =
-2f(x) + 1 - ANS (- infinity, 1)
\Consider the graph of the function f(x) = In x, match each transformation of function f
with a feature of the transformed function. - ANS j(x) = f(x) -1/2 —> vertical asymptote of x
=0
h(x) = f(x - 1/2) —> y-intercept at (0,-1/2) WRONG (should be x-intercept at (1.5,0) by
default but idk)
g(x) = -1/2f(x - 2) —> function decreases as x increases
\Determine the explicit for of the function that describes the sequence below, 16, 24, 36,
54... - ANS f(n) = 16(3/2)^(n - 1)
\Fill in the missing values in the table and statement below. - ANS Negative result - [35]
Positive result - [60]
WRONG - it is [95]% likely
A local grocery store offers a free piece of fresh fruit to all of shoppers in the produce
department. What generalization can be made from the results of this study? - ANS Given
the choice of a banana or an apple, twice as many shoppers will select an apple
\A restaurant owner wants to determine the effectiveness of his servers. Assuming a 95%
confidence level, which statement hold true? - ANS As the sample size is appropriately
large, the margin of error is 0.171
\A soccer team wins 65% of it's matches, and 15% of it's matches end in a draw. If the
team is scheduled to play 20 matches, about how many matches is it expected to lose? -
ANS 4
\A survey of randomly-selected students on a campus of 1,000 students asked who
preferred coffee to tea. The sample proportion is found to be 59%. Which statement is
true? - ANS The population proportion is not necessarily equal to the sample proportion
\A technology research group recently published a report on computer programmers'
views about a game development program. Which factor is most relevant when
evaluating the report? - ANS 28% of the respondents worked for game development
companies
\As x approaches positive infinity, f(x) approaches ___ and g(x) approaches ___. The
y-intercept of function f is___ the y-intercept of function g. - ANS [positive infinity]
[negative infinity]
[less than]
\By the central limit theorem, which interval can the branch manager be 95% certain that
the sample mean will fall within? - ANS $44.87 and $46.93
\Consider functions f and g. Which expression is equal to f(x) * g(x)? - ANS x-2/x+6
\Consider the equation, cos(0) = -3/10. If 0 is an angle in quadrant II, what is the value of
tan(0) - ANS -sqrt 91/3
\Consider the function y=1/2cos(2x)-1 Which statement is true about the function? - ANS
The midline of the function is y = -1
\Consider the graph of the function f(x) = 10^x, what is the range of function g if g(x) =
-2f(x) + 1 - ANS (- infinity, 1)
\Consider the graph of the function f(x) = In x, match each transformation of function f
with a feature of the transformed function. - ANS j(x) = f(x) -1/2 —> vertical asymptote of x
=0
h(x) = f(x - 1/2) —> y-intercept at (0,-1/2) WRONG (should be x-intercept at (1.5,0) by
default but idk)
g(x) = -1/2f(x - 2) —> function decreases as x increases
\Determine the explicit for of the function that describes the sequence below, 16, 24, 36,
54... - ANS f(n) = 16(3/2)^(n - 1)
\Fill in the missing values in the table and statement below. - ANS Negative result - [35]
Positive result - [60]
WRONG - it is [95]% likely
